Search a number
-
+
5438373248 = 277112953359
BaseRepresentation
bin1010001000010011…
…01111110110000000
3112001000020222121102
411010021233312000
542114210420443
62255351113532
7251524260410
oct50411576600
915030228542
105438373248
112340902350
1210793728a8
13688917449
143983b4640
1521c699cb8
hex14426fd80

5438373248 has 256 divisors, whose sum is σ = 14276736000. Its totient is φ = 2001592320.

The previous prime is 5438373247. The next prime is 5438373251. The reversal of 5438373248 is 8423738345.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438373247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15148493 + ... + 15148851.

It is an arithmetic number, because the mean of its divisors is an integer number (55768500).

Almost surely, 25438373248 is an apocalyptic number.

5438373248 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438373248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7138368000).

5438373248 is an abundant number, since it is smaller than the sum of its proper divisors (8838362752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5438373248 is a wasteful number, since it uses less digits than its factorization.

5438373248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 47.

The square root of 5438373248 is about 73745.3269570350. The cubic root of 5438373248 is about 1758.5565437521.

The spelling of 5438373248 in words is "five billion, four hundred thirty-eight million, three hundred seventy-three thousand, two hundred forty-eight".